The question is "The solution of $2^{2x+3} = 2^{x+1} + 3$ can be expressed in the form $a + \log_2 (b)$ where $a,b$ are integers. Find the value of $a$ and $b$."
I tried putting $\log_2$ on both sides but I couldn't do anything after that because the argument on the right hand side is a sum. Any help is appreciated.
Hint:
$$2\cdot2^{2\left(x+1\right)}-2^{\left(x+1\right)}-3=0$$
now use $2^{\left(x+1\right)}=t$